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Flavour models may display a relation between the CP-violating asymmetry for leptogenesis and low-energy parameters. If the flavour symmetry produces an exact mass independent lepton mixing scheme at leading order (with type I see-saw) the…

High Energy Physics - Phenomenology · Physics 2015-05-27 Ivo de Medeiros Varzielas

We consider a class of models of neutrino mixing with $S_4$ lepton flavour symmetry combined with a generalised CP symmetry, which are broken to residual $Z_2$ and $Z_2 \times H^\nu_{\rm CP}$ symmetries in the charged lepton and neutrino…

High Energy Physics - Phenomenology · Physics 2017-12-07 J. T. Penedo , S. T. Petcov , A. V. Titov

Present data prefer a large but non-maximal 2-3 mixing in the lepton sector. We argue that this value, in connection with $\sin\theta_{13}\simeq 0.15$, is the generic outcome of minimal flavour structures. We present a few different…

High Energy Physics - Phenomenology · Physics 2017-08-15 Michele Frigerio , Albert Villanova del Moral

We perform a detailed study of lepton mixing patterns arising from a scenario with three Majorana neutrinos in which a discrete flavor group Gf=Delta (3 n^2) or Gf=Delta(6 n^2) and a CP symmetry are broken to residual symmetries Ge=Z3 and…

High Energy Physics - Phenomenology · Physics 2015-05-20 C. Hagedorn , A. Meroni , E. Molinaro

We study the lepton sector of a four generations model based on the discrete flavor group $A_5$ (the even permutation of five objects). The best features of the three family $A_4$ model survive, including the tribimaximal pattern of three…

High Energy Physics - Phenomenology · Physics 2011-06-24 Chian-Shu Chen , Thomas W. Kephart , Tzu-Chiang Yuan

The current status of our knowledge of the 3-neutrino mixing parameters and of the CP violation in the lepton sector is summarised. The discrete symmetry approach to understanding the observed pattern of neutrino mixing and the related…

High Energy Physics - Phenomenology · Physics 2018-09-26 S. T. Petcov

In models with discrete flavour symmetries, flavons are critical to realise specific flavour structures. Leptonic flavour mixing originates from the misalignment of flavon vacuum expectation values which respect different residual…

High Energy Physics - Phenomenology · Physics 2016-06-14 Silvia Pascoli , Ye-Ling Zhou

We study a second CP symmetry compatible with the $A_4$ flavor group, which interchanges the representations $\mathbf{1}'$ and $\mathbf{1}"$. We analyze the lepton mixing patterns arising from the $A_4$ and CP symmetry broken to residual…

High Energy Physics - Phenomenology · Physics 2016-11-23 Cai-Chang Li , Jun-Nan Lu , Gui-Jun Ding

We show that a non-vanishing angle theta_13 of order 0.1 can be predicted in the framework of discrete flavour symmetries. We assume that left-handed leptons transform as triplets under a group G_f which is broken in such a way that…

High Energy Physics - Phenomenology · Physics 2011-09-13 Reinier de Adelhart Toorop , Ferruccio Feruglio , Claudia Hagedorn

A generalized CP symmetry for leptons is presented where CP transformations are part of an $S_4$ symmetry that connects different families. We study its implications for lepton mixings in a gauge model realization of the idea using type II…

High Energy Physics - Phenomenology · Physics 2012-10-17 R. N. Mohapatra , C. C. Nishi

Implications of a simple model for the mass generation of leptons are studied, in particular for the upcoming long-baseline neutrino experiments. The flavor mixing angles are large (nearly maximal). The probability for the long-baseline…

High Energy Physics - Phenomenology · Physics 2009-10-31 Harald Fritzsch , Zhi-zhong Xing

The mixing among flavors in quarks or leptons in terms of a single rotation angle is defined such that three flavor eigenvectors are transformed into three mass eigenvectors by a single rotation about a common axis. We propose that a…

High Energy Physics - Phenomenology · Physics 2011-08-31 Kee-Hwan Nam , Kim Siyeon , Seungsu Hwang

Lepton mixing patterns from the modular group $PSL_2(7)$ with generalised CP symmetries are studied. The residual symmetries in both charged leptons and neutrinos sector are $Z_{2}\times CP$. Seven types of mixing patterns at the $3\sigma$…

High Energy Physics - Phenomenology · Physics 2020-02-04 Shu-Jun Rong

I review the construction of a model for lepton masses based on the flavour symmetry group A4 x U(1) reproducing the so-called tri-bimaximal lepton mixing scheme, in eccelent agreement with current data. The model predicts a neutrino…

High Energy Physics - Phenomenology · Physics 2009-04-25 Ferruccio Feruglio

Flavour symmetries are fundamental tools in the search for an explanation to the flavour puzzle: fermion mass hierarchies, the neutrino mass ordering, the differences between the mixing matrices in the quark and lepton sector, can all find…

High Energy Physics - Phenomenology · Physics 2014-11-12 Luca Merlo

We propose a theory for fermion masses and mixings in which an $A_4$ family symmetry arises naturally from a six-dimensional spacetime after orbifold compactification. The flavour symmetry leads to the successful "golden" quark-lepton…

High Energy Physics - Phenomenology · Physics 2020-01-10 Francisco J. de Anda , José W. F. Valle , Carlos A. Vaquera-Araujo

We study the lepton flavor models, whose flavor symmetries are finite subgroups of the modular group such as $S_3$ and $A_4$. In our models, couplings are also nontrivial representations of these groups and modular functions of the modulus.…

High Energy Physics - Phenomenology · Physics 2018-07-11 Tatsuo Kobayashi , Kentaro Tanaka , Takuya H. Tatsuishi

Flavour symmetries are fundamental tools in the search for an explanation to the flavour puzzle: fermion mass hierarchies, the neutrino mass ordering, the differences between the mixing matrices in the quark and lepton sector, can all find…

High Energy Physics - Phenomenology · Physics 2015-03-12 Luca Merlo

The lepton flavor mixing matrix having one row or one column in common with the bimaximal mixing up to permutations is still compatible with the present neutrino oscillation data. We provide a thorough exploration of generating such a…

High Energy Physics - Phenomenology · Physics 2015-09-02 Cai-Chang Li , Gui-Jun Ding

We propose an elegant theory of flavour based on $A_4\times Z_5$ family symmetry with Pati-Salam unification which provides an excellent description of quark and lepton masses, mixing and CP violation. The $A_4$ symmetry unifies the…

High Energy Physics - Phenomenology · Physics 2014-09-05 Stephen F. King